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Simplifying 10y + -36 = 2(3y + 4) Reorder the terms: -36 + 10y = 2(3y + 4) Reorder the terms: -36 + 10y = 2(4 + 3y) -36 + 10y = (4 * 2 + 3y * 2) -36 + 10y = (8 + 6y) Solving -36 + 10y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -36 + 10y + -6y = 8 + 6y + -6y Combine like terms: 10y + -6y = 4y -36 + 4y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + 4y = 8 + 0 -36 + 4y = 8 Add '36' to each side of the equation. -36 + 36 + 4y = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 4y = 8 + 36 4y = 8 + 36 Combine like terms: 8 + 36 = 44 4y = 44 Divide each side by '4'. y = 11 Simplifying y = 11
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